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Finding the Fourth Proportional to 151,878.80, 227,796.60 and 52,043.60

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Solution

The fourth proportional to 151,878.80, 227,796.60 and 52,043.60 is: 78,058.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,878.80 : 227,796.60 = 52,043.60 : x
  2. Step 2: Convert to fraction form
    151,878.80/227,796.60 = 52,043.60/x
  3. Step 3: Cross multiply
    151,878.80x = 227,796.60 × 52,043.60
  4. Step 4: Simplify right side
    151,878.80x = 11,855,355,131.76
  5. Step 5: Solve for x
    x = 11,855,355,131.76/151,878.80
  6. Step 6: Final answer
    x = 78,058.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.